 | Engineering - 1918 - 2826 pages
...Progression. Quantities are said to be in Harmonical Progrtuion when any three consecutive terms bsins token, the first is to the third as the difference between the first and second is to the difference between the second and third. Thus, if a, b, e be the consecutive terms in a series,... | |
 | Franklin Institute (Philadelphia, Pa.) - Electronic journals - 1877 - 484 pages
...media, some striking displays of musical or harmonic arrangement. When three numbers are such that the first is to the third, as the difference between the first and second is to the difference between the second and third, they are said to be in harmonical proportion ; and a series... | |
 | University of St. Andrews - 1907 - 682 pages
...find a, b, c when 3. If a series is such that the ratio of the first of any three successive terms is to the third as the difference between the first and second is to the difference between the second and third, prove that the reciprocals of the terms of the series... | |
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Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression... 
